document.write( "Question 657326: Solve \r
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document.write( "-45 < -5x - 15 < 45 \n" );
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Algebra.Com's Answer #409820 by Shana-D77(132)![]() ![]() You can put this solution on YOUR website! In equations, there are 2 \"sides\" on either side of the = sign. In your problem, there are 3 \"sides\", so we add, subtract, multiply, divide all 3 sides: \n" ); document.write( " \n" ); document.write( "-45 < -5x - 15 < 45 \n" ); document.write( "-30 < -5x < 60 (added 15 to all 3 \"sides\") \n" ); document.write( "Now, we have to divide by a negative, so we need to make all the < turn to >. If you want to know why this is, look below. \n" ); document.write( "-30 < -5x < 60 \n" ); document.write( "6 > x > -12 (divided all 3 \"sides\" by -5) \n" ); document.write( "-12 < x < 6 (flipped the whole thing around because it's nice to read from the smallest number) \n" ); document.write( " \n" ); document.write( "So why do we flip the < sign? Here's an example: \n" ); document.write( "5 < 10 (true) \n" ); document.write( "Let's arbitrarily divide both sides by -1: \n" ); document.write( "-5 < -10 (no longer true!) \n" ); document.write( "So, when we divide by negatives, we must flip the inequality signs: \n" ); document.write( "-5 > -10\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |